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Finding the Fourth Proportional to 11,875.69, 17,810.73 and 5,298.25

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Solution

The fourth proportional to 11,875.69, 17,810.73 and 5,298.25 is: 7,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.69 : 17,810.73 = 5,298.25 : x
  2. Step 2: Convert to fraction form
    11,875.69/17,810.73 = 5,298.25/x
  3. Step 3: Cross multiply
    11,875.69x = 17,810.73 × 5,298.25
  4. Step 4: Simplify right side
    11,875.69x = 94,365,700.22
  5. Step 5: Solve for x
    x = 94,365,700.22/11,875.69
  6. Step 6: Final answer
    x = 7,946.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.